What is the Greatest Common Factor of 34950 and 34970?

Greatest common factor (GCF) of 34950 and 34970 is 10.

GCF(34950,34970) = 10

We will now calculate the prime factors of 34950 and 34970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34950 and 34970.

How to find the GCF of 34950 and 34970?

We will first find the prime factorization of 34950 and 34970. After we will calculate the factors of 34950 and 34970 and find the biggest common factor number .

Step-1: Prime Factorization of 34950

Prime factors of 34950 are 2, 3, 5, 233. Prime factorization of 34950 in exponential form is:

34950 = 2¹ × 3¹ × 5² × 233¹

Step-2: Prime Factorization of 34970

Prime factors of 34970 are 2, 5, 13, 269. Prime factorization of 34970 in exponential form is:

34970 = 2¹ × 5¹ × 13¹ × 269¹

Step-3: Factors of 34950

List of positive integer factors of 34950 that divides 34950 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 233, 466, 699, 1165, 1398, 2330, 3495, 5825, 6990, 11650, 17475

Step-4: Factors of 34970

List of positive integer factors of 34970 that divides 34950 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 269, 538, 1345, 2690, 3497, 6994, 17485

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34950 and 34970. The biggest common factor number is the GCF number.
So the greatest common factor 34950 and 34970 is 10.

Also check out the Least Common Multiple of 34950 and 34970