What is the Greatest Common Factor of 7462 and 7474?
Greatest common factor (GCF) of 7462 and 7474 is 2.
GCF(7462,7474) = 2
We will now calculate the prime factors of 7462 and 7474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7462 and 7474.
How to find the GCF of 7462 and 7474?
We will first find the prime factorization of 7462 and 7474. After we will calculate the factors of 7462 and 7474 and find the biggest common factor number .
Step-1: Prime Factorization of 7462
Prime factors of 7462 are 2, 7, 13, 41. Prime factorization of 7462 in exponential form is:
7462 = 21 × 71 × 131 × 411
Step-2: Prime Factorization of 7474
Prime factors of 7474 are 2, 37, 101. Prime factorization of 7474 in exponential form is:
7474 = 21 × 371 × 1011
Step-3: Factors of 7462
List of positive integer factors of 7462 that divides 7462 without a remainder.
1, 2, 7, 13, 14, 26, 41, 82, 91, 182, 287, 533, 574, 1066, 3731
Step-4: Factors of 7474
List of positive integer factors of 7474 that divides 7462 without a remainder.
1, 2, 37, 74, 101, 202, 3737
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 7462 and 7474. The biggest common factor number is the GCF number.
So the greatest common factor 7462 and 7474 is 2.
Also check out the Least Common Multiple of 7462 and 7474
Related Greatest Common Factors of 7462
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- GCF of 7462 and 7474
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Related Greatest Common Factors of 7474
- GCF of 7474 and 7478
- GCF of 7474 and 7479
- GCF of 7474 and 7480
- GCF of 7474 and 7481
- GCF of 7474 and 7482
- GCF of 7474 and 7483
- GCF of 7474 and 7484
- GCF of 7474 and 7485
- GCF of 7474 and 7486
- GCF of 7474 and 7487
- GCF of 7474 and 7488
- GCF of 7474 and 7489
- GCF of 7474 and 7490
- GCF of 7474 and 7491
- GCF of 7474 and 7492
- GCF of 7474 and 7493
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