What is the Greatest Common Factor of 978 and 988?

Greatest common factor (GCF) of 978 and 988 is 2.

GCF(978,988) = 2

We will now calculate the prime factors of 978 and 988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 978 and 988.

How to find the GCF of 978 and 988?

We will first find the prime factorization of 978 and 988. After we will calculate the factors of 978 and 988 and find the biggest common factor number .

Step-1: Prime Factorization of 978

Prime factors of 978 are 2, 3, 163. Prime factorization of 978 in exponential form is:

978 = 2¹ × 3¹ × 163¹

Step-2: Prime Factorization of 988

Prime factors of 988 are 2, 13, 19. Prime factorization of 988 in exponential form is:

988 = 2² × 13¹ × 19¹

Step-3: Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489

Step-4: Factors of 988

List of positive integer factors of 988 that divides 978 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 978 and 988. The biggest common factor number is the GCF number.
So the greatest common factor 978 and 988 is 2.

Also check out the Least Common Multiple of 978 and 988