What is the Greatest Common Factor of 70950 and 70955?

Greatest common factor (GCF) of 70950 and 70955 is 5.

GCF(70950,70955) = 5

We will now calculate the prime factors of 70950 and 70955, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70950 and 70955.

How to find the GCF of 70950 and 70955?

We will first find the prime factorization of 70950 and 70955. After we will calculate the factors of 70950 and 70955 and find the biggest common factor number .

Step-1: Prime Factorization of 70950

Prime factors of 70950 are 2, 3, 5, 11, 43. Prime factorization of 70950 in exponential form is:

70950 = 2¹ × 3¹ × 5² × 11¹ × 43¹

Step-2: Prime Factorization of 70955

Prime factors of 70955 are 5, 23, 617. Prime factorization of 70955 in exponential form is:

70955 = 5¹ × 23¹ × 617¹

Step-3: Factors of 70950

List of positive integer factors of 70950 that divides 70950 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 25, 30, 33, 43, 50, 55, 66, 75, 86, 110, 129, 150, 165, 215, 258, 275, 330, 430, 473, 550, 645, 825, 946, 1075, 1290, 1419, 1650, 2150, 2365, 2838, 3225, 4730, 6450, 7095, 11825, 14190, 23650, 35475

Step-4: Factors of 70955

List of positive integer factors of 70955 that divides 70950 without a remainder.

1, 5, 23, 115, 617, 3085, 14191

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70950 and 70955. The biggest common factor number is the GCF number.
So the greatest common factor 70950 and 70955 is 5.

Also check out the Least Common Multiple of 70950 and 70955