What is the Greatest Common Factor of 49609 and 49628?

Greatest common factor (GCF) of 49609 and 49628 is 19.

GCF(49609,49628) = 19

We will now calculate the prime factors of 49609 and 49628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49609 and 49628.

How to find the GCF of 49609 and 49628?

We will first find the prime factorization of 49609 and 49628. After we will calculate the factors of 49609 and 49628 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 49628

Prime factors of 49628 are 2, 19, 653. Prime factorization of 49628 in exponential form is:

49628 = 2² × 19¹ × 653¹

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 49628

List of positive integer factors of 49628 that divides 49609 without a remainder.

1, 2, 4, 19, 38, 76, 653, 1306, 2612, 12407, 24814

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49609 and 49628. The biggest common factor number is the GCF number.
So the greatest common factor 49609 and 49628 is 19.

Also check out the Least Common Multiple of 49609 and 49628