What is the Greatest Common Factor of 55974 and 55984?

Greatest common factor (GCF) of 55974 and 55984 is 2.

GCF(55974,55984) = 2

We will now calculate the prime factors of 55974 and 55984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55974 and 55984.

How to find the GCF of 55974 and 55984?

We will first find the prime factorization of 55974 and 55984. After we will calculate the factors of 55974 and 55984 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 55984

Prime factors of 55984 are 2, 3499. Prime factorization of 55984 in exponential form is:

55984 = 2⁴ × 3499¹

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 55984

List of positive integer factors of 55984 that divides 55974 without a remainder.

1, 2, 4, 8, 16, 3499, 6998, 13996, 27992

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55974 and 55984. The biggest common factor number is the GCF number.
So the greatest common factor 55974 and 55984 is 2.

Also check out the Least Common Multiple of 55974 and 55984