What is the Greatest Common Factor of 4950 and 4970?

Greatest common factor (GCF) of 4950 and 4970 is 10.

GCF(4950,4970) = 10

We will now calculate the prime factors of 4950 and 4970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4950 and 4970.

How to find the GCF of 4950 and 4970?

We will first find the prime factorization of 4950 and 4970. After we will calculate the factors of 4950 and 4970 and find the biggest common factor number .

Step-1: Prime Factorization of 4950

Prime factors of 4950 are 2, 3, 5, 11. Prime factorization of 4950 in exponential form is:

4950 = 2¹ × 3² × 5² × 11¹

Step-2: 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-3: Factors of 4950

List of positive integer factors of 4950 that divides 4950 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 25, 30, 33, 45, 50, 55, 66, 75, 90, 99, 110, 150, 165, 198, 225, 275, 330, 450, 495, 550, 825, 990, 1650, 2475

Step-4: Factors of 4970

List of positive integer factors of 4970 that divides 4950 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4950 and 4970. The biggest common factor number is the GCF number.
So the greatest common factor 4950 and 4970 is 10.

Also check out the Least Common Multiple of 4950 and 4970