What is the Greatest Common Factor of 76920 and 76930?

Greatest common factor (GCF) of 76920 and 76930 is 10.

GCF(76920,76930) = 10

We will now calculate the prime factors of 76920 and 76930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76920 and 76930.

How to find the GCF of 76920 and 76930?

We will first find the prime factorization of 76920 and 76930. After we will calculate the factors of 76920 and 76930 and find the biggest common factor number .

Step-1: Prime Factorization of 76920

Prime factors of 76920 are 2, 3, 5, 641. Prime factorization of 76920 in exponential form is:

76920 = 2³ × 3¹ × 5¹ × 641¹

Step-2: 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-3: Factors of 76920

List of positive integer factors of 76920 that divides 76920 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 641, 1282, 1923, 2564, 3205, 3846, 5128, 6410, 7692, 9615, 12820, 15384, 19230, 25640, 38460

Step-4: Factors of 76930

List of positive integer factors of 76930 that divides 76920 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76920 and 76930. The biggest common factor number is the GCF number.
So the greatest common factor 76920 and 76930 is 10.

Also check out the Least Common Multiple of 76920 and 76930