What is the Greatest Common Factor of 70749 and 70755?

Greatest common factor (GCF) of 70749 and 70755 is 3.

GCF(70749,70755) = 3

We will now calculate the prime factors of 70749 and 70755, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70749 and 70755.

How to find the GCF of 70749 and 70755?

We will first find the prime factorization of 70749 and 70755. After we will calculate the factors of 70749 and 70755 and find the biggest common factor number .

Step-1: Prime Factorization of 70749

Prime factors of 70749 are 3, 7, 1123. Prime factorization of 70749 in exponential form is:

70749 = 3² × 7¹ × 1123¹

Step-2: Prime Factorization of 70755

Prime factors of 70755 are 3, 5, 53, 89. Prime factorization of 70755 in exponential form is:

70755 = 3¹ × 5¹ × 53¹ × 89¹

Step-3: Factors of 70749

List of positive integer factors of 70749 that divides 70749 without a remainder.

1, 3, 7, 9, 21, 63, 1123, 3369, 7861, 10107, 23583

Step-4: Factors of 70755

List of positive integer factors of 70755 that divides 70749 without a remainder.

1, 3, 5, 15, 53, 89, 159, 265, 267, 445, 795, 1335, 4717, 14151, 23585

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70749 and 70755. The biggest common factor number is the GCF number.
So the greatest common factor 70749 and 70755 is 3.

Also check out the Least Common Multiple of 70749 and 70755