What is the Greatest Common Factor of 49609 and 49616?
Greatest common factor (GCF) of 49609 and 49616 is 7.
GCF(49609,49616) = 7
We will now calculate the prime factors of 49609 and 49616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49609 and 49616.
How to find the GCF of 49609 and 49616?
We will first find the prime factorization of 49609 and 49616. After we will calculate the factors of 49609 and 49616 and find the biggest common factor number .
Step-1: Prime Factorization of 49609
Prime factors of 49609 are 7, 19, 373. Prime factorization of 49609 in exponential form is:
49609 = 71 × 191 × 3731
Step-2: Prime Factorization of 49616
Prime factors of 49616 are 2, 7, 443. Prime factorization of 49616 in exponential form is:
49616 = 24 × 71 × 4431
Step-3: Factors of 49609
List of positive integer factors of 49609 that divides 49609 without a remainder.
1, 7, 19, 133, 373, 2611, 7087
Step-4: Factors of 49616
List of positive integer factors of 49616 that divides 49609 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 443, 886, 1772, 3101, 3544, 6202, 7088, 12404, 24808
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 49609 and 49616. The biggest common factor number is the GCF number.
So the greatest common factor 49609 and 49616 is 7.
Also check out the Least Common Multiple of 49609 and 49616
Related Greatest Common Factors of 49609
- GCF of 49609 and 49613
- GCF of 49609 and 49614
- GCF of 49609 and 49615
- GCF of 49609 and 49616
- GCF of 49609 and 49617
- GCF of 49609 and 49618
- GCF of 49609 and 49619
- GCF of 49609 and 49620
- GCF of 49609 and 49621
- GCF of 49609 and 49622
- GCF of 49609 and 49623
- GCF of 49609 and 49624
- GCF of 49609 and 49625
- GCF of 49609 and 49626
- GCF of 49609 and 49627
- GCF of 49609 and 49628
- GCF of 49609 and 49629
Related Greatest Common Factors of 49616
- GCF of 49616 and 49620
- GCF of 49616 and 49621
- GCF of 49616 and 49622
- GCF of 49616 and 49623
- GCF of 49616 and 49624
- GCF of 49616 and 49625
- GCF of 49616 and 49626
- GCF of 49616 and 49627
- GCF of 49616 and 49628
- GCF of 49616 and 49629
- GCF of 49616 and 49630
- GCF of 49616 and 49631
- GCF of 49616 and 49632
- GCF of 49616 and 49633
- GCF of 49616 and 49634
- GCF of 49616 and 49635
- GCF of 49616 and 49636