What is the Greatest Common Factor of 53974 and 53978?

Greatest common factor (GCF) of 53974 and 53978 is 2.

GCF(53974,53978) = 2

We will now calculate the prime factors of 53974 and 53978, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53974 and 53978.

How to find the GCF of 53974 and 53978?

We will first find the prime factorization of 53974 and 53978. After we will calculate the factors of 53974 and 53978 and find the biggest common factor number .

Step-1: Prime Factorization of 53974

Prime factors of 53974 are 2, 26987. Prime factorization of 53974 in exponential form is:

53974 = 2¹ × 26987¹

Step-2: 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-3: Factors of 53974

List of positive integer factors of 53974 that divides 53974 without a remainder.

1, 2, 26987

Step-4: Factors of 53978

List of positive integer factors of 53978 that divides 53974 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53974 and 53978. The biggest common factor number is the GCF number.
So the greatest common factor 53974 and 53978 is 2.

Also check out the Least Common Multiple of 53974 and 53978