What is the Greatest Common Factor of 74627 and 74634?

Greatest common factor (GCF) of 74627 and 74634 is 7.

GCF(74627,74634) = 7

We will now calculate the prime factors of 74627 and 74634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74627 and 74634.

How to find the GCF of 74627 and 74634?

We will first find the prime factorization of 74627 and 74634. After we will calculate the factors of 74627 and 74634 and find the biggest common factor number .

Step-1: Prime Factorization of 74627

Prime factors of 74627 are 7, 1523. Prime factorization of 74627 in exponential form is:

74627 = 7² × 1523¹

Step-2: Prime Factorization of 74634

Prime factors of 74634 are 2, 3, 7, 1777. Prime factorization of 74634 in exponential form is:

74634 = 2¹ × 3¹ × 7¹ × 1777¹

Step-3: Factors of 74627

List of positive integer factors of 74627 that divides 74627 without a remainder.

1, 7, 49, 1523, 10661

Step-4: Factors of 74634

List of positive integer factors of 74634 that divides 74627 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1777, 3554, 5331, 10662, 12439, 24878, 37317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74627 and 74634. The biggest common factor number is the GCF number.
So the greatest common factor 74627 and 74634 is 7.

Also check out the Least Common Multiple of 74627 and 74634