What is the Greatest Common Factor of 74517 and 74525?

Greatest common factor (GCF) of 74517 and 74525 is 1.

GCF(74517,74525) = 1

We will now calculate the prime factors of 74517 and 74525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74517 and 74525.

How to find the GCF of 74517 and 74525?

We will first find the prime factorization of 74517 and 74525. After we will calculate the factors of 74517 and 74525 and find the biggest common factor number .

Step-1: Prime Factorization of 74517

Prime factors of 74517 are 3, 59, 421. Prime factorization of 74517 in exponential form is:

74517 = 3¹ × 59¹ × 421¹

Step-2: Prime Factorization of 74525

Prime factors of 74525 are 5, 11, 271. Prime factorization of 74525 in exponential form is:

74525 = 5² × 11¹ × 271¹

Step-3: Factors of 74517

List of positive integer factors of 74517 that divides 74517 without a remainder.

1, 3, 59, 177, 421, 1263, 24839

Step-4: Factors of 74525

List of positive integer factors of 74525 that divides 74517 without a remainder.

1, 5, 11, 25, 55, 271, 275, 1355, 2981, 6775, 14905

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74517 and 74525. The biggest common factor number is the GCF number.
So the greatest common factor 74517 and 74525 is 1.

Also check out the Least Common Multiple of 74517 and 74525