What is the Greatest Common Factor of 35462 and 35467?

Greatest common factor (GCF) of 35462 and 35467 is 1.

GCF(35462,35467) = 1

We will now calculate the prime factors of 35462 and 35467, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35462 and 35467.

How to find the GCF of 35462 and 35467?

We will first find the prime factorization of 35462 and 35467. After we will calculate the factors of 35462 and 35467 and find the biggest common factor number .

Step-1: Prime Factorization of 35462

Prime factors of 35462 are 2, 7, 17, 149. Prime factorization of 35462 in exponential form is:

35462 = 2¹ × 7¹ × 17¹ × 149¹

Step-2: Prime Factorization of 35467

Prime factors of 35467 are 29, 1223. Prime factorization of 35467 in exponential form is:

35467 = 29¹ × 1223¹

Step-3: Factors of 35462

List of positive integer factors of 35462 that divides 35462 without a remainder.

1, 2, 7, 14, 17, 34, 119, 149, 238, 298, 1043, 2086, 2533, 5066, 17731

Step-4: Factors of 35467

List of positive integer factors of 35467 that divides 35462 without a remainder.

1, 29, 1223

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35462 and 35467. The biggest common factor number is the GCF number.
So the greatest common factor 35462 and 35467 is 1.

Also check out the Least Common Multiple of 35462 and 35467