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What is the Greatest Common Factor of 55967 and 55977?

Greatest common factor (GCF) of 55967 and 55977 is 1.

GCF(55967,55977) = 1

We will now calculate the prime factors of 55967 and 55977, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55967 and 55977.

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How to find the GCF of 55967 and 55977?

We will first find the prime factorization of 55967 and 55977. After we will calculate the factors of 55967 and 55977 and find the biggest common factor number .

Step-1: Prime Factorization of 55967

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

55967 = 559671

Step-2: Prime Factorization of 55977

Prime factors of 55977 are 3, 47, 397. Prime factorization of 55977 in exponential form is:

55977 = 31 × 471 × 3971

Step-3: Factors of 55967

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

1

Step-4: Factors of 55977

List of positive integer factors of 55977 that divides 55967 without a remainder.

1, 3, 47, 141, 397, 1191, 18659

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55967 and 55977. The biggest common factor number is the GCF number.
So the greatest common factor 55967 and 55977 is 1.

Also check out the Least Common Multiple of 55967 and 55977