What is the Greatest Common Factor of 4970 and 4990?

Greatest common factor (GCF) of 4970 and 4990 is 10.

GCF(4970,4990) = 10

We will now calculate the prime factors of 4970 and 4990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4970 and 4990.

How to find the GCF of 4970 and 4990?

We will first find the prime factorization of 4970 and 4990. After we will calculate the factors of 4970 and 4990 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 4990

Prime factors of 4990 are 2, 5, 499. Prime factorization of 4990 in exponential form is:

4990 = 2¹ × 5¹ × 499¹

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 4990

List of positive integer factors of 4990 that divides 4970 without a remainder.

1, 2, 5, 10, 499, 998, 2495

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4970 and 4990. The biggest common factor number is the GCF number.
So the greatest common factor 4970 and 4990 is 10.

Also check out the Least Common Multiple of 4970 and 4990