What is the Greatest Common Factor of 74813 and 74832?

Greatest common factor (GCF) of 74813 and 74832 is 1.

GCF(74813,74832) = 1

We will now calculate the prime factors of 74813 and 74832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74813 and 74832.

How to find the GCF of 74813 and 74832?

We will first find the prime factorization of 74813 and 74832. After we will calculate the factors of 74813 and 74832 and find the biggest common factor number .

Step-1: Prime Factorization of 74813

Prime factors of 74813 are 79, 947. Prime factorization of 74813 in exponential form is:

74813 = 79¹ × 947¹

Step-2: Prime Factorization of 74832

Prime factors of 74832 are 2, 3, 1559. Prime factorization of 74832 in exponential form is:

74832 = 2⁴ × 3¹ × 1559¹

Step-3: Factors of 74813

List of positive integer factors of 74813 that divides 74813 without a remainder.

1, 79, 947

Step-4: Factors of 74832

List of positive integer factors of 74832 that divides 74813 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1559, 3118, 4677, 6236, 9354, 12472, 18708, 24944, 37416

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74813 and 74832. The biggest common factor number is the GCF number.
So the greatest common factor 74813 and 74832 is 1.

Also check out the Least Common Multiple of 74813 and 74832