What is the Greatest Common Factor of 68996 and 69002?
Greatest common factor (GCF) of 68996 and 69002 is 2.
GCF(68996,69002) = 2
We will now calculate the prime factors of 68996 and 69002, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68996 and 69002.
How to find the GCF of 68996 and 69002?
We will first find the prime factorization of 68996 and 69002. After we will calculate the factors of 68996 and 69002 and find the biggest common factor number .
Step-1: Prime Factorization of 68996
Prime factors of 68996 are 2, 47, 367. Prime factorization of 68996 in exponential form is:
68996 = 22 × 471 × 3671
Step-2: Prime Factorization of 69002
Prime factors of 69002 are 2, 34501. Prime factorization of 69002 in exponential form is:
69002 = 21 × 345011
Step-3: Factors of 68996
List of positive integer factors of 68996 that divides 68996 without a remainder.
1, 2, 4, 47, 94, 188, 367, 734, 1468, 17249, 34498
Step-4: Factors of 69002
List of positive integer factors of 69002 that divides 68996 without a remainder.
1, 2, 34501
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 68996 and 69002. The biggest common factor number is the GCF number.
So the greatest common factor 68996 and 69002 is 2.
Also check out the Least Common Multiple of 68996 and 69002
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