What is the Greatest Common Factor of 53978 and 53992?

Greatest common factor (GCF) of 53978 and 53992 is 2.

GCF(53978,53992) = 2

We will now calculate the prime factors of 53978 and 53992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53978 and 53992.

How to find the GCF of 53978 and 53992?

We will first find the prime factorization of 53978 and 53992. After we will calculate the factors of 53978 and 53992 and find the biggest common factor number .

Step-1: Prime Factorization of 53978

Prime factors of 53978 are 2, 137, 197. Prime factorization of 53978 in exponential form is:

53978 = 2¹ × 137¹ × 197¹

Step-2: Prime Factorization of 53992

Prime factors of 53992 are 2, 17, 397. Prime factorization of 53992 in exponential form is:

53992 = 2³ × 17¹ × 397¹

Step-3: Factors of 53978

List of positive integer factors of 53978 that divides 53978 without a remainder.

1, 2, 137, 197, 274, 394, 26989

Step-4: Factors of 53992

List of positive integer factors of 53992 that divides 53978 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 397, 794, 1588, 3176, 6749, 13498, 26996

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53978 and 53992. The biggest common factor number is the GCF number.
So the greatest common factor 53978 and 53992 is 2.

Also check out the Least Common Multiple of 53978 and 53992