What is the Greatest Common Factor of 29085 and 29092?

Greatest common factor (GCF) of 29085 and 29092 is 7.

GCF(29085,29092) = 7

We will now calculate the prime factors of 29085 and 29092, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29085 and 29092.

How to find the GCF of 29085 and 29092?

We will first find the prime factorization of 29085 and 29092. After we will calculate the factors of 29085 and 29092 and find the biggest common factor number .

Step-1: Prime Factorization of 29085

Prime factors of 29085 are 3, 5, 7, 277. Prime factorization of 29085 in exponential form is:

29085 = 3¹ × 5¹ × 7¹ × 277¹

Step-2: Prime Factorization of 29092

Prime factors of 29092 are 2, 7, 1039. Prime factorization of 29092 in exponential form is:

29092 = 2² × 7¹ × 1039¹

Step-3: Factors of 29085

List of positive integer factors of 29085 that divides 29085 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 277, 831, 1385, 1939, 4155, 5817, 9695

Step-4: Factors of 29092

List of positive integer factors of 29092 that divides 29085 without a remainder.

1, 2, 4, 7, 14, 28, 1039, 2078, 4156, 7273, 14546

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29085 and 29092. The biggest common factor number is the GCF number.
So the greatest common factor 29085 and 29092 is 7.

Also check out the Least Common Multiple of 29085 and 29092