What is the Greatest Common Factor of 34615 and 34632?

Greatest common factor (GCF) of 34615 and 34632 is 1.

GCF(34615,34632) = 1

We will now calculate the prime factors of 34615 and 34632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34615 and 34632.

How to find the GCF of 34615 and 34632?

We will first find the prime factorization of 34615 and 34632. After we will calculate the factors of 34615 and 34632 and find the biggest common factor number .

Step-1: Prime Factorization of 34615

Prime factors of 34615 are 5, 7, 23, 43. Prime factorization of 34615 in exponential form is:

34615 = 5¹ × 7¹ × 23¹ × 43¹

Step-2: Prime Factorization of 34632

Prime factors of 34632 are 2, 3, 13, 37. Prime factorization of 34632 in exponential form is:

34632 = 2³ × 3² × 13¹ × 37¹

Step-3: Factors of 34615

List of positive integer factors of 34615 that divides 34615 without a remainder.

1, 5, 7, 23, 35, 43, 115, 161, 215, 301, 805, 989, 1505, 4945, 6923

Step-4: Factors of 34632

List of positive integer factors of 34632 that divides 34615 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 37, 39, 52, 72, 74, 78, 104, 111, 117, 148, 156, 222, 234, 296, 312, 333, 444, 468, 481, 666, 888, 936, 962, 1332, 1443, 1924, 2664, 2886, 3848, 4329, 5772, 8658, 11544, 17316

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34615 and 34632. The biggest common factor number is the GCF number.
So the greatest common factor 34615 and 34632 is 1.

Also check out the Least Common Multiple of 34615 and 34632