What is the Greatest Common Factor of 77940 and 77950?

Greatest common factor (GCF) of 77940 and 77950 is 10.

GCF(77940,77950) = 10

We will now calculate the prime factors of 77940 and 77950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77940 and 77950.

How to find the GCF of 77940 and 77950?

We will first find the prime factorization of 77940 and 77950. After we will calculate the factors of 77940 and 77950 and find the biggest common factor number .

Step-1: Prime Factorization of 77940

Prime factors of 77940 are 2, 3, 5, 433. Prime factorization of 77940 in exponential form is:

77940 = 2² × 3² × 5¹ × 433¹

Step-2: Prime Factorization of 77950

Prime factors of 77950 are 2, 5, 1559. Prime factorization of 77950 in exponential form is:

77950 = 2¹ × 5² × 1559¹

Step-3: Factors of 77940

List of positive integer factors of 77940 that divides 77940 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 433, 866, 1299, 1732, 2165, 2598, 3897, 4330, 5196, 6495, 7794, 8660, 12990, 15588, 19485, 25980, 38970

Step-4: Factors of 77950

List of positive integer factors of 77950 that divides 77940 without a remainder.

1, 2, 5, 10, 25, 50, 1559, 3118, 7795, 15590, 38975

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77940 and 77950. The biggest common factor number is the GCF number.
So the greatest common factor 77940 and 77950 is 10.

Also check out the Least Common Multiple of 77940 and 77950