What is the Greatest Common Factor of 70629 and 70648?

Greatest common factor (GCF) of 70629 and 70648 is 1.

GCF(70629,70648) = 1

We will now calculate the prime factors of 70629 and 70648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70629 and 70648.

How to find the GCF of 70629 and 70648?

We will first find the prime factorization of 70629 and 70648. After we will calculate the factors of 70629 and 70648 and find the biggest common factor number .

Step-1: Prime Factorization of 70629

Prime factors of 70629 are 3, 13, 1811. Prime factorization of 70629 in exponential form is:

70629 = 3¹ × 13¹ × 1811¹

Step-2: Prime Factorization of 70648

Prime factors of 70648 are 2, 8831. Prime factorization of 70648 in exponential form is:

70648 = 2³ × 8831¹

Step-3: Factors of 70629

List of positive integer factors of 70629 that divides 70629 without a remainder.

1, 3, 13, 39, 1811, 5433, 23543

Step-4: Factors of 70648

List of positive integer factors of 70648 that divides 70629 without a remainder.

1, 2, 4, 8, 8831, 17662, 35324

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70629 and 70648. The biggest common factor number is the GCF number.
So the greatest common factor 70629 and 70648 is 1.

Also check out the Least Common Multiple of 70629 and 70648