What is the Greatest Common Factor of 70620 and 70630?

Greatest common factor (GCF) of 70620 and 70630 is 10.

GCF(70620,70630) = 10

We will now calculate the prime factors of 70620 and 70630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70620 and 70630.

How to find the GCF of 70620 and 70630?

We will first find the prime factorization of 70620 and 70630. After we will calculate the factors of 70620 and 70630 and find the biggest common factor number .

Step-1: Prime Factorization of 70620

Prime factors of 70620 are 2, 3, 5, 11, 107. Prime factorization of 70620 in exponential form is:

70620 = 2² × 3¹ × 5¹ × 11¹ × 107¹

Step-2: Prime Factorization of 70630

Prime factors of 70630 are 2, 5, 7, 1009. Prime factorization of 70630 in exponential form is:

70630 = 2¹ × 5¹ × 7¹ × 1009¹

Step-3: Factors of 70620

List of positive integer factors of 70620 that divides 70620 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 107, 110, 132, 165, 214, 220, 321, 330, 428, 535, 642, 660, 1070, 1177, 1284, 1605, 2140, 2354, 3210, 3531, 4708, 5885, 6420, 7062, 11770, 14124, 17655, 23540, 35310

Step-4: Factors of 70630

List of positive integer factors of 70630 that divides 70620 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1009, 2018, 5045, 7063, 10090, 14126, 35315

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70620 and 70630. The biggest common factor number is the GCF number.
So the greatest common factor 70620 and 70630 is 10.

Also check out the Least Common Multiple of 70620 and 70630