What is the Greatest Common Factor of 74517 and 74536?

Greatest common factor (GCF) of 74517 and 74536 is 1.

GCF(74517,74536) = 1

We will now calculate the prime factors of 74517 and 74536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74517 and 74536.

How to find the GCF of 74517 and 74536?

We will first find the prime factorization of 74517 and 74536. After we will calculate the factors of 74517 and 74536 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 74536

Prime factors of 74536 are 2, 7, 11. Prime factorization of 74536 in exponential form is:

74536 = 2³ × 7¹ × 11³

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 74536

List of positive integer factors of 74536 that divides 74517 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 121, 154, 242, 308, 484, 616, 847, 968, 1331, 1694, 2662, 3388, 5324, 6776, 9317, 10648, 18634, 37268

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74517 and 74536. The biggest common factor number is the GCF number.
So the greatest common factor 74517 and 74536 is 1.

Also check out the Least Common Multiple of 74517 and 74536