What is the Greatest Common Factor of 35756 and 35763?

Greatest common factor (GCF) of 35756 and 35763 is 7.

GCF(35756,35763) = 7

We will now calculate the prime factors of 35756 and 35763, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35756 and 35763.

How to find the GCF of 35756 and 35763?

We will first find the prime factorization of 35756 and 35763. After we will calculate the factors of 35756 and 35763 and find the biggest common factor number .

Step-1: Prime Factorization of 35756

Prime factors of 35756 are 2, 7, 1277. Prime factorization of 35756 in exponential form is:

35756 = 2² × 7¹ × 1277¹

Step-2: Prime Factorization of 35763

Prime factors of 35763 are 3, 7, 13, 131. Prime factorization of 35763 in exponential form is:

35763 = 3¹ × 7¹ × 13¹ × 131¹

Step-3: Factors of 35756

List of positive integer factors of 35756 that divides 35756 without a remainder.

1, 2, 4, 7, 14, 28, 1277, 2554, 5108, 8939, 17878

Step-4: Factors of 35763

List of positive integer factors of 35763 that divides 35756 without a remainder.

1, 3, 7, 13, 21, 39, 91, 131, 273, 393, 917, 1703, 2751, 5109, 11921

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35756 and 35763. The biggest common factor number is the GCF number.
So the greatest common factor 35756 and 35763 is 7.

Also check out the Least Common Multiple of 35756 and 35763