What is the Greatest Common Factor of 74635 and 74647?

Greatest common factor (GCF) of 74635 and 74647 is 1.

GCF(74635,74647) = 1

We will now calculate the prime factors of 74635 and 74647, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74635 and 74647.

How to find the GCF of 74635 and 74647?

We will first find the prime factorization of 74635 and 74647. After we will calculate the factors of 74635 and 74647 and find the biggest common factor number .

Step-1: Prime Factorization of 74635

Prime factors of 74635 are 5, 11, 23, 59. Prime factorization of 74635 in exponential form is:

74635 = 5¹ × 11¹ × 23¹ × 59¹

Step-2: Prime Factorization of 74647

Prime factors of 74647 are 17, 4391. Prime factorization of 74647 in exponential form is:

74647 = 17¹ × 4391¹

Step-3: Factors of 74635

List of positive integer factors of 74635 that divides 74635 without a remainder.

1, 5, 11, 23, 55, 59, 115, 253, 295, 649, 1265, 1357, 3245, 6785, 14927

Step-4: Factors of 74647

List of positive integer factors of 74647 that divides 74635 without a remainder.

1, 17, 4391

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74635 and 74647. The biggest common factor number is the GCF number.
So the greatest common factor 74635 and 74647 is 1.

Also check out the Least Common Multiple of 74635 and 74647