What is the Greatest Common Factor of 33960 and 33970?

Greatest common factor (GCF) of 33960 and 33970 is 10.

GCF(33960,33970) = 10

We will now calculate the prime factors of 33960 and 33970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33960 and 33970.

How to find the GCF of 33960 and 33970?

We will first find the prime factorization of 33960 and 33970. After we will calculate the factors of 33960 and 33970 and find the biggest common factor number .

Step-1: Prime Factorization of 33960

Prime factors of 33960 are 2, 3, 5, 283. Prime factorization of 33960 in exponential form is:

33960 = 2³ × 3¹ × 5¹ × 283¹

Step-2: Prime Factorization of 33970

Prime factors of 33970 are 2, 5, 43, 79. Prime factorization of 33970 in exponential form is:

33970 = 2¹ × 5¹ × 43¹ × 79¹

Step-3: Factors of 33960

List of positive integer factors of 33960 that divides 33960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 283, 566, 849, 1132, 1415, 1698, 2264, 2830, 3396, 4245, 5660, 6792, 8490, 11320, 16980

Step-4: Factors of 33970

List of positive integer factors of 33970 that divides 33960 without a remainder.

1, 2, 5, 10, 43, 79, 86, 158, 215, 395, 430, 790, 3397, 6794, 16985

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33960 and 33970. The biggest common factor number is the GCF number.
So the greatest common factor 33960 and 33970 is 10.

Also check out the Least Common Multiple of 33960 and 33970