What is the Greatest Common Factor of 35214 and 35225?

Greatest common factor (GCF) of 35214 and 35225 is 1.

GCF(35214,35225) = 1

We will now calculate the prime factors of 35214 and 35225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35214 and 35225.

How to find the GCF of 35214 and 35225?

We will first find the prime factorization of 35214 and 35225. After we will calculate the factors of 35214 and 35225 and find the biggest common factor number .

Step-1: Prime Factorization of 35214

Prime factors of 35214 are 2, 3, 5869. Prime factorization of 35214 in exponential form is:

35214 = 2¹ × 3¹ × 5869¹

Step-2: Prime Factorization of 35225

Prime factors of 35225 are 5, 1409. Prime factorization of 35225 in exponential form is:

35225 = 5² × 1409¹

Step-3: Factors of 35214

List of positive integer factors of 35214 that divides 35214 without a remainder.

1, 2, 3, 6, 5869, 11738, 17607

Step-4: Factors of 35225

List of positive integer factors of 35225 that divides 35214 without a remainder.

1, 5, 25, 1409, 7045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35214 and 35225. The biggest common factor number is the GCF number.
So the greatest common factor 35214 and 35225 is 1.

Also check out the Least Common Multiple of 35214 and 35225