What is the Greatest Common Factor of 70678 and 70684?
Greatest common factor (GCF) of 70678 and 70684 is 2.
GCF(70678,70684) = 2
We will now calculate the prime factors of 70678 and 70684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70678 and 70684.
How to find the GCF of 70678 and 70684?
We will first find the prime factorization of 70678 and 70684. After we will calculate the factors of 70678 and 70684 and find the biggest common factor number .
Step-1: Prime Factorization of 70678
Prime factors of 70678 are 2, 35339. Prime factorization of 70678 in exponential form is:
70678 = 21 × 353391
Step-2: Prime Factorization of 70684
Prime factors of 70684 are 2, 41, 431. Prime factorization of 70684 in exponential form is:
70684 = 22 × 411 × 4311
Step-3: Factors of 70678
List of positive integer factors of 70678 that divides 70678 without a remainder.
1, 2, 35339
Step-4: Factors of 70684
List of positive integer factors of 70684 that divides 70678 without a remainder.
1, 2, 4, 41, 82, 164, 431, 862, 1724, 17671, 35342
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 70678 and 70684. The biggest common factor number is the GCF number.
So the greatest common factor 70678 and 70684 is 2.
Also check out the Least Common Multiple of 70678 and 70684
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Related Greatest Common Factors of 70684
- GCF of 70684 and 70688
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