What is the Greatest Common Factor of 74265 and 74277?

Greatest common factor (GCF) of 74265 and 74277 is 3.

GCF(74265,74277) = 3

We will now calculate the prime factors of 74265 and 74277, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74265 and 74277.

How to find the GCF of 74265 and 74277?

We will first find the prime factorization of 74265 and 74277. After we will calculate the factors of 74265 and 74277 and find the biggest common factor number .

Step-1: Prime Factorization of 74265

Prime factors of 74265 are 3, 5, 4951. Prime factorization of 74265 in exponential form is:

74265 = 3¹ × 5¹ × 4951¹

Step-2: Prime Factorization of 74277

Prime factors of 74277 are 3, 7, 131. Prime factorization of 74277 in exponential form is:

74277 = 3⁴ × 7¹ × 131¹

Step-3: Factors of 74265

List of positive integer factors of 74265 that divides 74265 without a remainder.

1, 3, 5, 15, 4951, 14853, 24755

Step-4: Factors of 74277

List of positive integer factors of 74277 that divides 74265 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 131, 189, 393, 567, 917, 1179, 2751, 3537, 8253, 10611, 24759

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74265 and 74277. The biggest common factor number is the GCF number.
So the greatest common factor 74265 and 74277 is 3.

Also check out the Least Common Multiple of 74265 and 74277