What is the Greatest Common Factor of 55974 and 55985?

Greatest common factor (GCF) of 55974 and 55985 is 1.

GCF(55974,55985) = 1

We will now calculate the prime factors of 55974 and 55985, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55974 and 55985.

How to find the GCF of 55974 and 55985?

We will first find the prime factorization of 55974 and 55985. After we will calculate the factors of 55974 and 55985 and find the biggest common factor number .

Step-1: Prime Factorization of 55974

Prime factors of 55974 are 2, 3, 19, 491. Prime factorization of 55974 in exponential form is:

55974 = 2¹ × 3¹ × 19¹ × 491¹

Step-2: Prime Factorization of 55985

Prime factors of 55985 are 5, 11197. Prime factorization of 55985 in exponential form is:

55985 = 5¹ × 11197¹

Step-3: Factors of 55974

List of positive integer factors of 55974 that divides 55974 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 491, 982, 1473, 2946, 9329, 18658, 27987

Step-4: Factors of 55985

List of positive integer factors of 55985 that divides 55974 without a remainder.

1, 5, 11197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55974 and 55985. The biggest common factor number is the GCF number.
So the greatest common factor 55974 and 55985 is 1.

Also check out the Least Common Multiple of 55974 and 55985