What is the Greatest Common Factor of 34940 and 34960?

Greatest common factor (GCF) of 34940 and 34960 is 20.

GCF(34940,34960) = 20

We will now calculate the prime factors of 34940 and 34960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34940 and 34960.

How to find the GCF of 34940 and 34960?

We will first find the prime factorization of 34940 and 34960. After we will calculate the factors of 34940 and 34960 and find the biggest common factor number .

Step-1: Prime Factorization of 34940

Prime factors of 34940 are 2, 5, 1747. Prime factorization of 34940 in exponential form is:

34940 = 2² × 5¹ × 1747¹

Step-2: Prime Factorization of 34960

Prime factors of 34960 are 2, 5, 19, 23. Prime factorization of 34960 in exponential form is:

34960 = 2⁴ × 5¹ × 19¹ × 23¹

Step-3: Factors of 34940

List of positive integer factors of 34940 that divides 34940 without a remainder.

1, 2, 4, 5, 10, 20, 1747, 3494, 6988, 8735, 17470

Step-4: Factors of 34960

List of positive integer factors of 34960 that divides 34940 without a remainder.

1, 2, 4, 5, 8, 10, 16, 19, 20, 23, 38, 40, 46, 76, 80, 92, 95, 115, 152, 184, 190, 230, 304, 368, 380, 437, 460, 760, 874, 920, 1520, 1748, 1840, 2185, 3496, 4370, 6992, 8740, 17480

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34940 and 34960. The biggest common factor number is the GCF number.
So the greatest common factor 34940 and 34960 is 20.

Also check out the Least Common Multiple of 34940 and 34960