What is the Greatest Common Factor of 34888 and 34895?

Greatest common factor (GCF) of 34888 and 34895 is 7.

GCF(34888,34895) = 7

We will now calculate the prime factors of 34888 and 34895, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34888 and 34895.

How to find the GCF of 34888 and 34895?

We will first find the prime factorization of 34888 and 34895. After we will calculate the factors of 34888 and 34895 and find the biggest common factor number .

Step-1: Prime Factorization of 34888

Prime factors of 34888 are 2, 7, 89. Prime factorization of 34888 in exponential form is:

34888 = 2³ × 7² × 89¹

Step-2: Prime Factorization of 34895

Prime factors of 34895 are 5, 7, 997. Prime factorization of 34895 in exponential form is:

34895 = 5¹ × 7¹ × 997¹

Step-3: Factors of 34888

List of positive integer factors of 34888 that divides 34888 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 89, 98, 178, 196, 356, 392, 623, 712, 1246, 2492, 4361, 4984, 8722, 17444

Step-4: Factors of 34895

List of positive integer factors of 34895 that divides 34888 without a remainder.

1, 5, 7, 35, 997, 4985, 6979

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34888 and 34895. The biggest common factor number is the GCF number.
So the greatest common factor 34888 and 34895 is 7.

Also check out the Least Common Multiple of 34888 and 34895