What is the Greatest Common Factor of 59680 and 59690?

Greatest common factor (GCF) of 59680 and 59690 is 10.

GCF(59680,59690) = 10

We will now calculate the prime factors of 59680 and 59690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59680 and 59690.

How to find the GCF of 59680 and 59690?

We will first find the prime factorization of 59680 and 59690. After we will calculate the factors of 59680 and 59690 and find the biggest common factor number .

Step-1: Prime Factorization of 59680

Prime factors of 59680 are 2, 5, 373. Prime factorization of 59680 in exponential form is:

59680 = 2⁵ × 5¹ × 373¹

Step-2: Prime Factorization of 59690

Prime factors of 59690 are 2, 5, 47, 127. Prime factorization of 59690 in exponential form is:

59690 = 2¹ × 5¹ × 47¹ × 127¹

Step-3: Factors of 59680

List of positive integer factors of 59680 that divides 59680 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 373, 746, 1492, 1865, 2984, 3730, 5968, 7460, 11936, 14920, 29840

Step-4: Factors of 59690

List of positive integer factors of 59690 that divides 59680 without a remainder.

1, 2, 5, 10, 47, 94, 127, 235, 254, 470, 635, 1270, 5969, 11938, 29845

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59680 and 59690. The biggest common factor number is the GCF number.
So the greatest common factor 59680 and 59690 is 10.

Also check out the Least Common Multiple of 59680 and 59690