What is the Greatest Common Factor of 74123 and 74137?

Greatest common factor (GCF) of 74123 and 74137 is 7.

GCF(74123,74137) = 7

We will now calculate the prime factors of 74123 and 74137, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74123 and 74137.

How to find the GCF of 74123 and 74137?

We will first find the prime factorization of 74123 and 74137. After we will calculate the factors of 74123 and 74137 and find the biggest common factor number .

Step-1: Prime Factorization of 74123

Prime factors of 74123 are 7, 10589. Prime factorization of 74123 in exponential form is:

74123 = 7¹ × 10589¹

Step-2: Prime Factorization of 74137

Prime factors of 74137 are 7, 17, 89. Prime factorization of 74137 in exponential form is:

74137 = 7² × 17¹ × 89¹

Step-3: Factors of 74123

List of positive integer factors of 74123 that divides 74123 without a remainder.

1, 7, 10589

Step-4: Factors of 74137

List of positive integer factors of 74137 that divides 74123 without a remainder.

1, 7, 17, 49, 89, 119, 623, 833, 1513, 4361, 10591

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74123 and 74137. The biggest common factor number is the GCF number.
So the greatest common factor 74123 and 74137 is 7.

Also check out the Least Common Multiple of 74123 and 74137