What is the Greatest Common Factor of 55948 and 55967?

Greatest common factor (GCF) of 55948 and 55967 is 1.

GCF(55948,55967) = 1

We will now calculate the prime factors of 55948 and 55967, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55948 and 55967.

How to find the GCF of 55948 and 55967?

We will first find the prime factorization of 55948 and 55967. After we will calculate the factors of 55948 and 55967 and find the biggest common factor number .

Step-1: Prime Factorization of 55948

Prime factors of 55948 are 2, 71, 197. Prime factorization of 55948 in exponential form is:

55948 = 2² × 71¹ × 197¹

Step-2: Prime Factorization of 55967

Prime factors of 55967 are 55967. Prime factorization of 55967 in exponential form is:

55967 = 55967¹

Step-3: Factors of 55948

List of positive integer factors of 55948 that divides 55948 without a remainder.

1, 2, 4, 71, 142, 197, 284, 394, 788, 13987, 27974

Step-4: Factors of 55967

List of positive integer factors of 55967 that divides 55948 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55948 and 55967. The biggest common factor number is the GCF number.
So the greatest common factor 55948 and 55967 is 1.

Also check out the Least Common Multiple of 55948 and 55967