What is the Greatest Common Factor of 70536 and 70545?

Greatest common factor (GCF) of 70536 and 70545 is 3.

GCF(70536,70545) = 3

We will now calculate the prime factors of 70536 and 70545, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70536 and 70545.

How to find the GCF of 70536 and 70545?

We will first find the prime factorization of 70536 and 70545. After we will calculate the factors of 70536 and 70545 and find the biggest common factor number .

Step-1: Prime Factorization of 70536

Prime factors of 70536 are 2, 3, 2939. Prime factorization of 70536 in exponential form is:

70536 = 2³ × 3¹ × 2939¹

Step-2: Prime Factorization of 70545

Prime factors of 70545 are 3, 5, 4703. Prime factorization of 70545 in exponential form is:

70545 = 3¹ × 5¹ × 4703¹

Step-3: Factors of 70536

List of positive integer factors of 70536 that divides 70536 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2939, 5878, 8817, 11756, 17634, 23512, 35268

Step-4: Factors of 70545

List of positive integer factors of 70545 that divides 70536 without a remainder.

1, 3, 5, 15, 4703, 14109, 23515

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70536 and 70545. The biggest common factor number is the GCF number.
So the greatest common factor 70536 and 70545 is 3.

Also check out the Least Common Multiple of 70536 and 70545