What is the Greatest Common Factor of 74639 and 74658?

Greatest common factor (GCF) of 74639 and 74658 is 1.

GCF(74639,74658) = 1

We will now calculate the prime factors of 74639 and 74658, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74639 and 74658.

How to find the GCF of 74639 and 74658?

We will first find the prime factorization of 74639 and 74658. After we will calculate the factors of 74639 and 74658 and find the biggest common factor number .

Step-1: Prime Factorization of 74639

Prime factors of 74639 are 101, 739. Prime factorization of 74639 in exponential form is:

74639 = 101¹ × 739¹

Step-2: Prime Factorization of 74658

Prime factors of 74658 are 2, 3, 23, 541. Prime factorization of 74658 in exponential form is:

74658 = 2¹ × 3¹ × 23¹ × 541¹

Step-3: Factors of 74639

List of positive integer factors of 74639 that divides 74639 without a remainder.

1, 101, 739

Step-4: Factors of 74658

List of positive integer factors of 74658 that divides 74639 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 541, 1082, 1623, 3246, 12443, 24886, 37329

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74639 and 74658. The biggest common factor number is the GCF number.
So the greatest common factor 74639 and 74658 is 1.

Also check out the Least Common Multiple of 74639 and 74658