What is the Greatest Common Factor of 70602 and 70622?

Greatest common factor (GCF) of 70602 and 70622 is 2.

GCF(70602,70622) = 2

We will now calculate the prime factors of 70602 and 70622, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70602 and 70622.

How to find the GCF of 70602 and 70622?

We will first find the prime factorization of 70602 and 70622. After we will calculate the factors of 70602 and 70622 and find the biggest common factor number .

Step-1: Prime Factorization of 70602

Prime factors of 70602 are 2, 3, 7, 41. Prime factorization of 70602 in exponential form is:

70602 = 2¹ × 3¹ × 7¹ × 41²

Step-2: Prime Factorization of 70622

Prime factors of 70622 are 2, 35311. Prime factorization of 70622 in exponential form is:

70622 = 2¹ × 35311¹

Step-3: Factors of 70602

List of positive integer factors of 70602 that divides 70602 without a remainder.

1, 2, 3, 6, 7, 14, 21, 41, 42, 82, 123, 246, 287, 574, 861, 1681, 1722, 3362, 5043, 10086, 11767, 23534, 35301

Step-4: Factors of 70622

List of positive integer factors of 70622 that divides 70602 without a remainder.

1, 2, 35311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70602 and 70622. The biggest common factor number is the GCF number.
So the greatest common factor 70602 and 70622 is 2.

Also check out the Least Common Multiple of 70602 and 70622