What is the Greatest Common Factor of 54978 and 54995?

Greatest common factor (GCF) of 54978 and 54995 is 17.

GCF(54978,54995) = 17

We will now calculate the prime factors of 54978 and 54995, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54978 and 54995.

How to find the GCF of 54978 and 54995?

We will first find the prime factorization of 54978 and 54995. After we will calculate the factors of 54978 and 54995 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 54995

Prime factors of 54995 are 5, 17, 647. Prime factorization of 54995 in exponential form is:

54995 = 5¹ × 17¹ × 647¹

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 54995

List of positive integer factors of 54995 that divides 54978 without a remainder.

1, 5, 17, 85, 647, 3235, 10999

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54978 and 54995. The biggest common factor number is the GCF number.
So the greatest common factor 54978 and 54995 is 17.

Also check out the Least Common Multiple of 54978 and 54995