What is the Greatest Common Factor of 76930 and 76944?

Greatest common factor (GCF) of 76930 and 76944 is 14.

GCF(76930,76944) = 14

We will now calculate the prime factors of 76930 and 76944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76930 and 76944.

How to find the GCF of 76930 and 76944?

We will first find the prime factorization of 76930 and 76944. After we will calculate the factors of 76930 and 76944 and find the biggest common factor number .

Step-1: Prime Factorization of 76930

Prime factors of 76930 are 2, 5, 7, 157. Prime factorization of 76930 in exponential form is:

76930 = 2¹ × 5¹ × 7² × 157¹

Step-2: 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-3: Factors of 76930

List of positive integer factors of 76930 that divides 76930 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 157, 245, 314, 490, 785, 1099, 1570, 2198, 5495, 7693, 10990, 15386, 38465

Step-4: Factors of 76944

List of positive integer factors of 76944 that divides 76930 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76930 and 76944. The biggest common factor number is the GCF number.
So the greatest common factor 76930 and 76944 is 14.

Also check out the Least Common Multiple of 76930 and 76944