What is the Greatest Common Factor of 75702 and 75713?

Greatest common factor (GCF) of 75702 and 75713 is 11.

GCF(75702,75713) = 11

We will now calculate the prime factors of 75702 and 75713, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75702 and 75713.

How to find the GCF of 75702 and 75713?

We will first find the prime factorization of 75702 and 75713. After we will calculate the factors of 75702 and 75713 and find the biggest common factor number .

Step-1: Prime Factorization of 75702

Prime factors of 75702 are 2, 3, 11, 31, 37. Prime factorization of 75702 in exponential form is:

75702 = 2¹ × 3¹ × 11¹ × 31¹ × 37¹

Step-2: Prime Factorization of 75713

Prime factors of 75713 are 11, 6883. Prime factorization of 75713 in exponential form is:

75713 = 11¹ × 6883¹

Step-3: Factors of 75702

List of positive integer factors of 75702 that divides 75702 without a remainder.

1, 2, 3, 6, 11, 22, 31, 33, 37, 62, 66, 74, 93, 111, 186, 222, 341, 407, 682, 814, 1023, 1147, 1221, 2046, 2294, 2442, 3441, 6882, 12617, 25234, 37851

Step-4: Factors of 75713

List of positive integer factors of 75713 that divides 75702 without a remainder.

1, 11, 6883

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75702 and 75713. The biggest common factor number is the GCF number.
So the greatest common factor 75702 and 75713 is 11.

Also check out the Least Common Multiple of 75702 and 75713