What is the Greatest Common Factor of 34888 and 34897?

Greatest common factor (GCF) of 34888 and 34897 is 1.

GCF(34888,34897) = 1

We will now calculate the prime factors of 34888 and 34897, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34888 and 34897.

How to find the GCF of 34888 and 34897?

We will first find the prime factorization of 34888 and 34897. After we will calculate the factors of 34888 and 34897 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 34897

Prime factors of 34897 are 34897. Prime factorization of 34897 in exponential form is:

34897 = 34897¹

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 34897

List of positive integer factors of 34897 that divides 34888 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34888 and 34897. The biggest common factor number is the GCF number.
So the greatest common factor 34888 and 34897 is 1.

Also check out the Least Common Multiple of 34888 and 34897