What is the Greatest Common Factor of 4970 and 4988?

Greatest common factor (GCF) of 4970 and 4988 is 2.

GCF(4970,4988) = 2

We will now calculate the prime factors of 4970 and 4988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4970 and 4988.

How to find the GCF of 4970 and 4988?

We will first find the prime factorization of 4970 and 4988. After we will calculate the factors of 4970 and 4988 and find the biggest common factor number .

Step-1: Prime Factorization of 4970

Prime factors of 4970 are 2, 5, 7, 71. Prime factorization of 4970 in exponential form is:

4970 = 2¹ × 5¹ × 7¹ × 71¹

Step-2: Prime Factorization of 4988

Prime factors of 4988 are 2, 29, 43. Prime factorization of 4988 in exponential form is:

4988 = 2² × 29¹ × 43¹

Step-3: Factors of 4970

List of positive integer factors of 4970 that divides 4970 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 71, 142, 355, 497, 710, 994, 2485

Step-4: Factors of 4988

List of positive integer factors of 4988 that divides 4970 without a remainder.

1, 2, 4, 29, 43, 58, 86, 116, 172, 1247, 2494

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4970 and 4988. The biggest common factor number is the GCF number.
So the greatest common factor 4970 and 4988 is 2.

Also check out the Least Common Multiple of 4970 and 4988