What is the Greatest Common Factor of 70584 and 70602?

Greatest common factor (GCF) of 70584 and 70602 is 6.

GCF(70584,70602) = 6

We will now calculate the prime factors of 70584 and 70602, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70584 and 70602.

How to find the GCF of 70584 and 70602?

We will first find the prime factorization of 70584 and 70602. After we will calculate the factors of 70584 and 70602 and find the biggest common factor number .

Step-1: Prime Factorization of 70584

Prime factors of 70584 are 2, 3, 17, 173. Prime factorization of 70584 in exponential form is:

70584 = 2³ × 3¹ × 17¹ × 173¹

Step-2: 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-3: Factors of 70584

List of positive integer factors of 70584 that divides 70584 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 173, 204, 346, 408, 519, 692, 1038, 1384, 2076, 2941, 4152, 5882, 8823, 11764, 17646, 23528, 35292

Step-4: Factors of 70602

List of positive integer factors of 70602 that divides 70584 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70584 and 70602. The biggest common factor number is the GCF number.
So the greatest common factor 70584 and 70602 is 6.

Also check out the Least Common Multiple of 70584 and 70602