What is the Greatest Common Factor of 54978 and 54985?

Greatest common factor (GCF) of 54978 and 54985 is 7.

GCF(54978,54985) = 7

We will now calculate the prime factors of 54978 and 54985, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54978 and 54985.

How to find the GCF of 54978 and 54985?

We will first find the prime factorization of 54978 and 54985. After we will calculate the factors of 54978 and 54985 and find the biggest common factor number .

Step-1: Prime Factorization of 54978

Prime factors of 54978 are 2, 3, 7, 11, 17. Prime factorization of 54978 in exponential form is:

54978 = 2¹ × 3¹ × 7² × 11¹ × 17¹

Step-2: Prime Factorization of 54985

Prime factors of 54985 are 5, 7, 1571. Prime factorization of 54985 in exponential form is:

54985 = 5¹ × 7¹ × 1571¹

Step-3: Factors of 54978

List of positive integer factors of 54978 that divides 54978 without a remainder.

1, 2, 3, 6, 7, 11, 14, 17, 21, 22, 33, 34, 42, 49, 51, 66, 77, 98, 102, 119, 147, 154, 187, 231, 238, 294, 357, 374, 462, 539, 561, 714, 833, 1078, 1122, 1309, 1617, 1666, 2499, 2618, 3234, 3927, 4998, 7854, 9163, 18326, 27489

Step-4: Factors of 54985

List of positive integer factors of 54985 that divides 54978 without a remainder.

1, 5, 7, 35, 1571, 7855, 10997

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54978 and 54985. The biggest common factor number is the GCF number.
So the greatest common factor 54978 and 54985 is 7.

Also check out the Least Common Multiple of 54978 and 54985