What is the Greatest Common Factor of 53978 and 53988?

Greatest common factor (GCF) of 53978 and 53988 is 2.

GCF(53978,53988) = 2

We will now calculate the prime factors of 53978 and 53988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53978 and 53988.

How to find the GCF of 53978 and 53988?

We will first find the prime factorization of 53978 and 53988. After we will calculate the factors of 53978 and 53988 and find the biggest common factor number .

Step-1: Prime Factorization of 53978

Prime factors of 53978 are 2, 137, 197. Prime factorization of 53978 in exponential form is:

53978 = 2¹ × 137¹ × 197¹

Step-2: Prime Factorization of 53988

Prime factors of 53988 are 2, 3, 11, 409. Prime factorization of 53988 in exponential form is:

53988 = 2² × 3¹ × 11¹ × 409¹

Step-3: Factors of 53978

List of positive integer factors of 53978 that divides 53978 without a remainder.

1, 2, 137, 197, 274, 394, 26989

Step-4: Factors of 53988

List of positive integer factors of 53988 that divides 53978 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 409, 818, 1227, 1636, 2454, 4499, 4908, 8998, 13497, 17996, 26994

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53978 and 53988. The biggest common factor number is the GCF number.
So the greatest common factor 53978 and 53988 is 2.

Also check out the Least Common Multiple of 53978 and 53988