What is the Greatest Common Factor of 74745 and 74765?

Greatest common factor (GCF) of 74745 and 74765 is 5.

GCF(74745,74765) = 5

We will now calculate the prime factors of 74745 and 74765, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74745 and 74765.

How to find the GCF of 74745 and 74765?

We will first find the prime factorization of 74745 and 74765. After we will calculate the factors of 74745 and 74765 and find the biggest common factor number .

Step-1: Prime Factorization of 74745

Prime factors of 74745 are 3, 5, 11, 151. Prime factorization of 74745 in exponential form is:

74745 = 3² × 5¹ × 11¹ × 151¹

Step-2: Prime Factorization of 74765

Prime factors of 74765 are 5, 19, 787. Prime factorization of 74765 in exponential form is:

74765 = 5¹ × 19¹ × 787¹

Step-3: Factors of 74745

List of positive integer factors of 74745 that divides 74745 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 151, 165, 453, 495, 755, 1359, 1661, 2265, 4983, 6795, 8305, 14949, 24915

Step-4: Factors of 74765

List of positive integer factors of 74765 that divides 74745 without a remainder.

1, 5, 19, 95, 787, 3935, 14953

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74745 and 74765. The biggest common factor number is the GCF number.
So the greatest common factor 74745 and 74765 is 5.

Also check out the Least Common Multiple of 74745 and 74765