What is the Greatest Common Factor of 76944 and 76949?

Greatest common factor (GCF) of 76944 and 76949 is 1.

GCF(76944,76949) = 1

We will now calculate the prime factors of 76944 and 76949, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76944 and 76949.

How to find the GCF of 76944 and 76949?

We will first find the prime factorization of 76944 and 76949. After we will calculate the factors of 76944 and 76949 and find the biggest common factor number .

Step-1: Prime Factorization of 76944

Prime factors of 76944 are 2, 3, 7, 229. Prime factorization of 76944 in exponential form is:

76944 = 2⁴ × 3¹ × 7¹ × 229¹

Step-2: Prime Factorization of 76949

Prime factors of 76949 are 76949. Prime factorization of 76949 in exponential form is:

76949 = 76949¹

Step-3: Factors of 76944

List of positive integer factors of 76944 that divides 76944 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 229, 336, 458, 687, 916, 1374, 1603, 1832, 2748, 3206, 3664, 4809, 5496, 6412, 9618, 10992, 12824, 19236, 25648, 38472

Step-4: Factors of 76949

List of positive integer factors of 76949 that divides 76944 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76944 and 76949. The biggest common factor number is the GCF number.
So the greatest common factor 76944 and 76949 is 1.

Also check out the Least Common Multiple of 76944 and 76949