What is the Greatest Common Factor of 35560 and 35567?

Greatest common factor (GCF) of 35560 and 35567 is 7.

GCF(35560,35567) = 7

We will now calculate the prime factors of 35560 and 35567, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35560 and 35567.

How to find the GCF of 35560 and 35567?

We will first find the prime factorization of 35560 and 35567. After we will calculate the factors of 35560 and 35567 and find the biggest common factor number .

Step-1: Prime Factorization of 35560

Prime factors of 35560 are 2, 5, 7, 127. Prime factorization of 35560 in exponential form is:

35560 = 2³ × 5¹ × 7¹ × 127¹

Step-2: Prime Factorization of 35567

Prime factors of 35567 are 7, 5081. Prime factorization of 35567 in exponential form is:

35567 = 7¹ × 5081¹

Step-3: Factors of 35560

List of positive integer factors of 35560 that divides 35560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 127, 140, 254, 280, 508, 635, 889, 1016, 1270, 1778, 2540, 3556, 4445, 5080, 7112, 8890, 17780

Step-4: Factors of 35567

List of positive integer factors of 35567 that divides 35560 without a remainder.

1, 7, 5081

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35560 and 35567. The biggest common factor number is the GCF number.
So the greatest common factor 35560 and 35567 is 7.

Also check out the Least Common Multiple of 35560 and 35567